This concludes Sec. , in which GRAPE was applied to find the time-optimal global pulses for the CZ and the C\(_2\) Z gate. For both gates the time-optimal pulse is faster then the traditional non-global pulse, for the CZ gate additionally \(\sim \!10\) % faster than the pulse in Ref. [1]}. All pulses are, up to the discretization introduced by GRAPE, simple and smooth pulses. For the CZ gate we additionally found that allowing for individual addressability of the atoms brings no speedup of the gate.
